Effective Dielectric Tensor and Propagation Constant of Plane Waves in a Random Anisotropic Medium

1967 ◽  
Vol 8 (11) ◽  
pp. 2236-2242 ◽  
Author(s):  
C. H. Liu
Keyword(s):  
Anisotropic Medium ◽  
Propagation Constant ◽  
Plane Waves ◽  
Dielectric Tensor

Radiation Field of a Uniformly Moving Charge in an Anisotropic Medium

1974 ◽  
Vol 29 (5) ◽  
pp. 687-692
Author(s):  
G. P. Sastry ◽  
S. Datta Majumdar
Keyword(s):  
Radiation Field ◽  
Anisotropic Medium ◽  
Point Charge ◽  
Potential Distribution ◽  
Asymptotic Form ◽  
Dielectric Tensor ◽  
Arbitrary Direction ◽  
Hankel Functions ◽  
Anisotropic Fields ◽  
Set Up

Abstract Fourier integrals are set up for the field of a point charge moving uniformly in an arbitrary direction in a uniaxial medium anisotropic in ε only. The integrals break up into several parts two of which yield the ordinary and extraordinary cones with uniform azimuthal potential distribution. The remaining integrals neither contribute to the energy radiated nor affect the size and the shape of the cones, but merely distort the field within the cones. The integrals are evaluated exactly in the non-dispersive case and closed expressions for the potential are obtained. In the dispersive case, the radiation field is determined by using the asymptotic form of the Hankel functions occurring in the integrand. The resulting expressions exhibit the high azimuthal asymmetry characteristic of anisotropic fields. From the expressions derived for a pure dielectric the potential in a doubly anisotropic medium is obtained, without a fresh calculation, by making appropriate substitutions for the coordinates of the field point and the components of the dielectric tensor.

Reflection in a highly anisotropic medium for three-dimensional plane waves under initial stresses

2014 ◽  
Vol 85 ◽  
pp. 136-149 ◽  
Author(s):  
Mita Chatterjee ◽  
Sudarshan Dhua ◽  
Sanjeev A. Sahu ◽  
Amares Chattopadhyay
Keyword(s):  
Anisotropic Medium ◽  
Plane Waves ◽  
Three Dimensional ◽  
Initial Stresses ◽  
Dimensional Plane

Non-uniform plane waves (ghost waves) in general anisotropic medium

2019 ◽  
Vol 453 ◽  
pp. 124334 ◽  
Author(s):  
Waleed Iqbal Waseer ◽  
Qaisar Abbas Naqvi ◽  
M. Juniad Mughal
Keyword(s):  
Anisotropic Medium ◽  
Plane Waves ◽  
Uniform Plane

EDGE DIFFRACTION IN AN ARBITRARY ANISOTROPIC MEDIUM. I

1967 ◽  
Vol 45 (11) ◽  
pp. 3479-3502 ◽  
Author(s):  
Shalom Rosenbaum
Keyword(s):  
Anisotropic Medium ◽  
Short Wavelength ◽  
Dielectric Tensor ◽  
Asymptotic Results ◽  
Asymptotic Field ◽  
Lateral Field ◽  
Reflected Waves ◽  
Edge Diffraction ◽  
Diffracted Waves ◽  
Formal Solutions

Diffraction by a perfectly conducting half-plane embedded in a transversely unbounded region filled with a uniform, lossless but arbitrarily anisotropic medium characterized by a Hermitian dielectric tensor ε is studied. Formal solutions in terms of a plane-wave modal superposition (with the modal amplitudes determined via the Wiener–Hopf technique) are obtained. Asymptotic (short-wavelength) contributions (saddle-point contributions as well as contributions due to intercepted singular points) are considered. The asymptotic results are then cast into invariant, ray optical forms, amenable to a distinct physical interpretation.Mode coupling at the boundary gives rise to diffracted (lateral) waves as well as to geometric-optical (incident and reflected) waves. In addition to the "conventional" radially diffracted waves, one observes "secondary" lateral waves generated by the edge. In the short-wavelength limit the edge behaves as a virtual line source whose magnitude is proportional to the total (direct and lateral) field incident upon it. The asymptotic field solutions are valid, subject to the exclusion of some suitably defined transition regions, which are distinctly determined by the geometric-optical expressions. The various (asymptotic) wave constituents are shown to correspond to the anticipated results of geometrical optics.

scholarly journals A UNIQUENESS THEOREM FOR AN INVERSE ELECTROMAGNETIC SCATTERING PROBLEM IN INHOMOGENEOUS ANISOTROPIC MEDIA

2003 ◽  
Vol 46 (2) ◽  
pp. 293-314 ◽  
Author(s):  
Fioralba Cakoni ◽  
David Colton
Keyword(s):  
Anisotropic Medium ◽  
Electromagnetic Scattering ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Scattering Problem ◽  
Plane Waves ◽  
Field Patterns ◽  
Regularity Properties ◽  
Time Harmonic ◽  
Secondary 35P25

AbstractWe show that the support of a (possibly) coated anisotropic medium is uniquely determined by the electric far-field patterns corresponding to incident time-harmonic electromagnetic plane waves with arbitrary polarization and direction. Our proof avoids the use of a fundamental solution to Maxwell’s equations in an anisotropic medium and instead relies on the well-posedness and regularity properties of solutions to an interior transmission problem for Maxwell’s equations.AMS 2000 Mathematics subject classification: Primary 35R30; 35Q60. Secondary 35P25; 78A45

ON A CYLINDRICAL ANTENNA IN A HOMOGENEOUS ANISOTROPIC MEDIUM

1966 ◽  
Vol 44 (6) ◽  
pp. 1239-1266 ◽  
Author(s):  
K. Aoki
Keyword(s):  
Anisotropic Medium ◽  
Fourier Transforms ◽  
Resonance Phenomenon ◽  
Dielectric Tensor ◽  
Input Admittance ◽  
Circulating Current ◽  
Cylindrical Antenna ◽  
Antenna Length ◽  
Current Flows ◽  
Homogeneous Anisotropic Medium

The admittance problem of an antenna imbedded in a homogeneous anisotropic medium in which the dielectric tensor is given by the form in eq. (1) is formulated by the theory of Fourier transforms, and analyzed with the aid of the Wiener–Hopf technique. The current distribution and the input admittance of an infinite and finite antenna are evaluated approximately under the following assumptions: (1) the medium is loss free, (2) (radius of the antenna/wavelength) [Formula: see text], (3) the nondiagonal elements of the dielectric tensor are very small compared with its diagonal elements and ωp < ω < ωe (ωp, ω, and ωe are the plasma, signal, and cyclotron frequencies), (4) (antenna length/wavelength) is not small. Our present results have forms similar to the well-known solutions in an isotropic medium, except for two distinctions. The first is that a circulating current flows on the antenna, although its magnitude is very small. The second is an additional resonance phenomenon due to the interaction of two traveling current waves with slightly different propagation constants.

EDGE DIFFRACTION IN AN ARBITRARY ANISOTROPIC MEDIUM. II

1967 ◽  
Vol 45 (11) ◽  
pp. 3503-3519
Author(s):  
Shalom Rosenbaum
Keyword(s):  
Anisotropic Medium ◽  
Line Source ◽  
Short Wavelength ◽  
Entire Range ◽  
Dielectric Tensor ◽  
Total Field ◽  
Reflected Waves ◽  
Edge Diffraction ◽  
Wave Numbers ◽  
Formal Solutions

Diffraction by a perfectly conducting half-plane embedded in a transversely unbounded region filled with a uniform, lossless but arbitrarily anisotropic medium characterized by a Hermitian dielectric tensor ε is studied. Excitation is by a linearly phased line source of arbitrarily polarized electric and magnetic currents. Formal solutions are obtained in terms of a two-dimensional plane-wave modal superposition (over the entire range of the transverse wave numbers representing the incident (ηn) and scattered (η) waves). The original contours of integration in both the complex ηn and η planes are deformed simultaneously into their respective paths of steepest descent, and contributions to intercepted singular points are considered. Asymptotic (short-wavelength) analysis yields results which, despite their relative complexity, are cast into invariant, ray-optical forms, amenable to distinct physical (geometric-optical) interpretation.Mode coupling at the boundary gives rise to source-excited lateral waves as well as geometric-optical (incident and reflected) waves. In the short-wavelength limit, the edge behaves as a virtual line source whose magnitude is proportional to the total field incident upon it (which is composed of direct rays emerging from the source, as well as a lateral wave propagating along the boundary, towards the edge). Both the direct and the lateral waves are diffracted by the edge (i.e., coupled to edge-excited "radial" and "secondary" lateral waves) in a manner identical with that discussed in Part I.

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